Summary: 



GENERATORS OF NONCOMMUTATIVE DYNAMICS



WILLIAM ARVESON



Abstract. For a fixed C*-algebra A, we consider all noncommutative
dynamical systems that can be generated by A. More precisely, an A-
dynamical system is a triple (i, B, ff) where ff is a *-endomorphism of a
C*-algebra B, and i : A B is the inclusion of A as a C*-subalgebra
with the property that B is generated by A [ ff(A) [ ff2(A) [ . ...There
is a natural hierarchy in the class of A-dynamical systems, and there
is a universal one that dominates all others, denoted (i, PA, ff). We
establish certain properties of (i, PA, ff) and give applications to some

Source: Arveson, William - Department of Mathematics, University of California at Berkeley

Collections: Mathematics